cadcadconsolidate/simulation.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from typing import List\n",
"import networkx as nx\n",
"import numpy as np\n",
"import pandas as pd\n",
"import datetime\n",
"from hatch import contributions_to_token_batches, TokenBatch, Commons\n",
"from convictionvoting import trigger_threshold\n",
"from network_helpers import *\n",
"from IPython.core.debugger import set_trace\n",
"\n",
"from cadCAD.configuration import Configuration\n",
"\n",
"\n",
"def initialize_network_of_hatchers(participants: List[TokenBatch]) -> nx.DiGraph:\n",
" \"\"\"\n",
" The role of this function is simply to fill up the directed graph.\n",
" Helper functions setting up the tokens etc should be defined elsewhere\n",
" and only provide values to this dumb function to put in the graph.\n",
" \"\"\"\n",
" network = nx.DiGraph()\n",
" for i, p in enumerate(participants):\n",
" # Note: TokenBatch arguments don't mean anything if they're nonvesting\n",
" network.add_node(i, type=\"participant\", holdings_vesting=p, holdings_nonvesting=TokenBatch(0, 5, 5), sentiment=np.random.rand())\n",
" return network\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The cell below is for copy/pasting policy functions from libraries into, for debugging"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# contributions = [5e5, 5e5, 2.5e5]\n",
"contributions = [np.random.rand() * 10e5 for i in range(60)]\n",
"token_batches, initial_token_supply = contributions_to_token_batches(contributions, 0.1, 60)\n",
"\n",
"network = initialize_network_of_hatchers(token_batches)\n",
"commons = Commons(sum(contributions), initial_token_supply, exit_tribute=0.35)\n",
"network = add_proposals_and_relationships_to_network(network, 3, commons._funding_pool, commons._token_supply)\n",
"\n",
"initial_conditions = {\n",
" \"network\": network,\n",
" \"commons\": commons,\n",
" \"funding_pool\": commons._funding_pool,\n",
" \"collateral_pool\": commons._collateral_pool,\n",
" \"token_supply\": commons._token_supply,\n",
" \"sentiment\": 0.5\n",
"}\n",
"\n",
"partial_state_update_blocks = [\n",
" {\n",
" \"policies\": {\n",
" \"gen_new_participants_proposals_funding\": gen_new_participants_proposals_funding_random\n",
" },\n",
" 'variables': {\n",
" 'network': add_participants_proposals_to_network,\n",
" 'commons': new_participants_and_new_funds_commons,\n",
" }\n",
" },\n",
" {\n",
" \"policies\": {},\n",
" \"variables\": {\n",
" \"funding_pool\": update_funding_pool,\n",
" \"collateral_pool\": update_collateral_pool,\n",
" \"token_supply\": update_token_supply,\n",
" }\n",
" },\n",
" {\n",
" \"policies\": {\n",
" \"make_proposals_pass_or_fail\": make_proposals_pass_or_fail_random,\n",
" },\n",
" \"variables\": {\n",
" \"sentiment\": sentiment_decays_wo_completed_proposals,\n",
" \"network\": complete_proposal,\n",
" }\n",
" }\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": [
"outputPrepend"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" __________ ____ \n",
" ________ __ _____/ ____/ | / __ \\\n",
" / ___/ __` / __ / / / /| | / / / /\n",
" / /__/ /_/ / /_/ / /___/ ___ |/ /_/ / \n",
" \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n",
" by BlockScience\n",
" \n",
"Execution Mode: single_proc: [<cadCAD.configuration.Configuration object at 0x7fdb9a6ade20>]\n",
"Configurations: [<cadCAD.configuration.Configuration object at 0x7fdb9a6ade20>]\n"
]
}
],
"source": [
"simulation_parameters = {\n",
" 'T': range(150),\n",
" 'N': 1,\n",
" 'M': {\n",
" \"sentiment_decay\": 0.01, #termed mu in the state update function\n",
" \"trigger_threshold\": [trigger_threshold]\n",
" }\n",
"}\n",
"\n",
"# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # \n",
"# The configurations above are then packaged into a `Configuration` object\n",
"config = Configuration(initial_state=initial_conditions, #dict containing variable names and initial values\n",
" partial_state_update_blocks=partial_state_update_blocks, #dict containing state update functions\n",
" sim_config=simulation_parameters #dict containing simulation parameters\n",
" )\n",
"\n",
"\n",
"from cadCAD.engine import ExecutionMode, ExecutionContext, Executor\n",
"exec_mode = ExecutionMode()\n",
"exec_context = ExecutionContext(exec_mode.single_proc) # Do not use multi_proc, breaks ipdb.set_trace()\n",
"executor = Executor(exec_context, [config]) # Pass the configuration object inside an array\n",
"raw_result, tensor = executor.execute() # The `execute()` method returns a tuple; its first elements contains the raw results"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"tags": [
"outputPrepend"
]
},
"outputs": [],
"source": [
"df = pd.DataFrame(raw_result)\n",
"df_final = df[df.substep.eq(2)]\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fdb77945bb0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_final.plot(\"timestep\", \"collateral_pool\", grid=True)\n",
"df_final.plot(\"timestep\", \"token_supply\", grid=True)\n",
"df_final.plot(\"timestep\", \"funding_pool\", grid=True)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Participants Social Network')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"supporters = get_edges_by_type(network, 'support')\n",
"influencers = get_edges_by_type(network, 'influence')\n",
"competitors = get_edges_by_type(network, 'conflict')\n",
"\n",
"nx.draw_kamada_kawai(network, nodelist = get_participants(network), edgelist=influencers)\n",
"plt.title('Participants Social Network')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.2 64-bit ('cadcad': virtualenv)",
"language": "python",
"name": "python38264bitcadcadvirtualenv759203ea8fcd4eb59bfff73a3b8619e8"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}